168165 has 24 divisors (see below), whose sum is σ = 302328. Its totient is φ = 86400.

The previous prime is 168151. The next prime is 168193. The reversal of 168165 is 561861.

It can be written as a sum of positive squares in 4 ways, for example, as 93636 + 74529 = 306^2 + 273^2 .

It is not a de Polignac number, because 168165 - 2⁷ = 168037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1615 + ... + 1715.

It is an arithmetic number, because the mean of its divisors is an integer number (12597).

2¹⁶⁸¹⁶⁵ is an apocalyptic number.

168165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

168165 is a deficient number, since it is larger than the sum of its proper divisors (134163).

168165 is a wasteful number, since it uses less digits than its factorization.

168165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 146 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 168165 is about 410.0792606314. The cubic root of 168165 is about 55.1965420014.

It can be divided in two parts, 168 and 165, that added together give a palindrome (333).

The spelling of 168165 in words is "one hundred sixty-eight thousand, one hundred sixty-five".